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A199666 Decimal expansion of x<0 satisfying 3*x+2*cos(x)=0. 2

%I #5 Mar 30 2012 18:57:58

%S 5,6,3,5,6,9,2,0,4,2,2,5,5,1,5,6,4,2,4,9,0,5,0,1,8,0,7,1,3,5,1,3,2,0,

%T 4,5,0,6,1,0,7,4,4,7,2,4,3,2,6,8,7,2,9,5,8,0,3,4,8,3,5,5,1,2,7,8,6,1,

%U 1,1,5,2,8,6,2,5,9,0,0,1,3,7,8,1,1,0,6,7,0,2,5,4,8,3,7,3,1,6,9

%N Decimal expansion of x<0 satisfying 3*x+2*cos(x)=0.

%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.

%e x=-0.563569204225515642490501807135132045061074472...

%t a = 3; b = 2; c = 0;

%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.57, -.56}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199666 *)

%Y Cf. A199597.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 09 2011

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Last modified August 26 07:40 EDT 2024. Contains 375454 sequences. (Running on oeis4.)